Interior Gradient Bound For Minimal Graphs in a Product Manifold

Details Interior Gradient Bound For Minimal Graphs in a Product Manifold Interior Gradient Bound For Minimal Graphs in a Product Manifold

2004-07-28

arxiv.org/abs/math/0407474v1

Mathematics

Differential Geometry

9 pages

Scientific paper

Let $(M, g)$ be an $n$-dimensional complete Riemannian manifold with
$Ric(M)\geq-(n-1)Q$, where $Q\geq0$ is a constant. We obtain an interior
gradient bound for minimal graphs in $M\times R$ under some technical
assumptions. For details, see Theorem 2.

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